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420424552532240 = 24522923996020663
BaseRepresentation
bin101111110010111111011100…
…0000110111100100100010000
32001010121012020221012212020022
41133211332320012330210100
5420101213440422012430
64050100212331203012
7154361446224645014
oct13745767006744420
92033535227185208
10420424552532240
11111a62062505993
123b1a1117ba6468
1315078b32a850b9
1475b692a812544
15339131a1424e5
hex17e5fb81bc910

420424552532240 has 80 divisors (see below), whose sum is σ = 985863361420800. Its totient is φ = 166734886488576.

The previous prime is 420424552532239. The next prime is 420424552532273. The reversal of 420424552532240 is 42235255424024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 420424552532191 and 420424552532200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43631852 + ... + 52388811.

It is an arithmetic number, because the mean of its divisors is an integer number (12323292017760).

Almost surely, 2420424552532240 is an apocalyptic number.

420424552532240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420424552532240 is an abundant number, since it is smaller than the sum of its proper divisors (565438808888560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420424552532240 is a wasteful number, since it uses less digits than its factorization.

420424552532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96021144 (or 96021138 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 44.

The spelling of 420424552532240 in words is "four hundred twenty trillion, four hundred twenty-four billion, five hundred fifty-two million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 239 458 478 916 956 1145 1195 1832 1912 2290 2390 3664 3824 4580 4780 9160 9560 18320 19120 54731 109462 218924 273655 437848 547310 875696 1094620 2189240 4378480 96020663 192041326 384082652 480103315 768165304 960206630 1536330608 1920413260 3840826520 7681653040 21988731827 22948938457 43977463654 45897876914 87954927308 91795753828 109943659135 114744692285 175909854616 183591507656 219887318270 229489384570 351819709232 367183015312 439774636540 458978769140 879549273080 917957538280 1759098546160 1835915076560 5255306906653 10510613813306 21021227626612 26276534533265 42042455253224 52553069066530 84084910506448 105106138133060 210212276266120 420424552532240